Formula
p̂ = x ÷ n; Wilson interval = (p̂ + z²/2n ± z√[(p̂(1−p̂)+z²/4n)/n]) ÷ (1+z²/n)
x is the counted successes, n is the sample, and z is the selected confidence critical value.
What the result means
Use the main result together with the supporting bounds, counts, or capacity figures. The estimate is only as reliable as the input definitions, sampling process, and operating assumptions.
This interval reflects binomial sampling uncertainty. It does not capture tracking loss, identity resolution errors, model misspecification, or correlated conversions.